41616288 has 144 divisors (see below), whose sum is σ = 141341760. Its totient is φ = 11878272.

The previous prime is 41616287. The next prime is 41616317. The reversal of 41616288 is 88261614.

41616288 is a `hidden beast` number, since 416 + 162 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41616287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41845 + ... + 42827.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 2^41616288 is an apocalyptic number.

41616288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41616288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70670880).

41616288 is an abundant number, since it is smaller than the sum of its proper divisors (99725472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41616288 is a wasteful number, since it uses less digits than its factorization.

41616288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 995 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41616288 is about 6451.0687486648. The cubic root of 41616288 is about 346.5408583591.

The spelling of 41616288 in words is "forty-one million, six hundred sixteen thousand, two hundred eighty-eight".